The purpose of the task is to show students a situation where squaring both sides of an equation can result in an equation with more solutions than the original one, because it is possible to have two unequal numbers whose squares are equal, i.e., one could be positive and one negative. Aligns with A-REI.A.2.

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CCSS: Adaptable

Concepts

square roots, radical equations

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Additional Tags

squaring, a-rei.a.2, cc by-nc-sa 4.0, creative commons attribution-noncommercial-sharealike 4.0, illustrative mathematics, illustrative mathematics: a-rei radical equations, oh.math.hsa.rei.2, extraneous solution, solve radical equations in one variable

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Classroom Considerations

Knovation Readability Score: 5 (1 low difficulty, 5 high difficulty)
The intended use for this resource is Instructional|practice

Common Core

View 7,215 other resources for 9th - 10th Grade Algebra II